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Finding the Fourth Proportional to 9,477.17, 14,220.90 and 3,934.32

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Solution

The fourth proportional to 9,477.17, 14,220.90 and 3,934.32 is: 5,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.17 : 14,220.90 = 3,934.32 : x
  2. Step 2: Convert to fraction form
    9,477.17/14,220.90 = 3,934.32/x
  3. Step 3: Cross multiply
    9,477.17x = 14,220.90 × 3,934.32
  4. Step 4: Simplify right side
    9,477.17x = 55,949,571.29
  5. Step 5: Solve for x
    x = 55,949,571.29/9,477.17
  6. Step 6: Final answer
    x = 5,903.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.